These various charcoal briquettes with "The Ridge" are manufactured by Royal Oak, maybe to matching specifications, maybe not.
And Kingsford offers a charcoal briquette with Mesquite incorporated into the briquette.
Why is it important for the Mesquite wood to have been incorporated by the briquette manufacturer?
Why not purchase some 100% Hardwood charcoal briquettes with no mined coal or limestone in the mix, and add Mesquite wood chunks and / or chips to your personal taste? The current market has numerous brands of 100% Hardwood charcoal briquettes with a pinch of vegetable starch binder readily available such as: Royal Oak Chef's Select (Made in USA), Sam's Club 100% Natural Hardwood (Made in USA), even Kingsfordoffers a Hardwood charcoal briquette option now (Made in USA), Jealous Devil (Made in Paraguay), Frontier South American (Made in Paraguay), and one I'm currently using Master Grill (Made in Paraguay).
Or why not purchase some Mesquite Lump Charcoal and add, if any, Mesquite wood chunks and / or chips to your taste?
I assume you're not using some version of grill or smoker where ash management during a cook session can be an issue since you're looking for charcoal briquettes to begin with.